Name:
Math for College Liberal Arts
Classifying Data and Frequency Tables
Classify the following variables as qualitative (C) or quantitative (Q). (1 point each)
1. A list of telephone numbers:
3. Types of animals at a zoo :
11th graders
12th graders
Students at a local high school in grades 11 and 12 are asked what gaming system they
prefer. The results are summarized below in a two-way frequency table.
5. Complete the table. (6 points)
TOTAL
Nintendo Switch
132
11th graders
12th graders
TOTAL
Date:
?
?
2. Heights of players on a basketball team
4. Number of children in a family:
PS4
?
127
?
Neither
?
PS4
95
182
TOTAL
?
Use the table above to answer these questions. (1 point each)
6. How many 12th graders do not like either gaming system?
7. How many total students like the Nintendo Switch?
8. What is the total number of 11th grade students?
9. How many total students are there?
10. How many 11th graders like the PS4?_
11. Create a relative frequency table from the table above. Write the relative frequencies as decimals
rounded to two decimal places. (12 points)
Nintendo Switch
Neither
315
655
TOTAL

Name:Math For College Liberal ArtsClassifying Data And Frequency TablesClassify The Following Variables

Answers

Answer 1

Numerical variables are the subject of quantitative data. Qualitative data can be represented by a name, symbol, or number code and are measures of "types."

What are qualitative variables and quantitative variables?

Numerical variables are the subject of quantitative data. Qualitative data can be represented by a name, symbol, or number code and are measures of "types." Data concerning categorical variables make up qualitative data.

Quantitative Variables with values obtained through measurement or counting. Variables that exists not measurement variables are referred to as qualitative variables. Their values are not determined by counting or measuring. Values that are used to identify people in a table are called designators. While qualitative research focuses on words and meanings, quantitative research deals with figures and statistics.

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Related Questions

(5-9i)-(2-6i)+(3-4i)

Answers

================================Simplifying - Solution and Explanation================================

Hello! So...

We are given the following:

[tex](5-9i)-(2-6i)+(3-4i)[/tex]

_____________________________________________

1. Simplify the given expression.

[tex](5-9i)-(2-6i)+(3-4i)=5-9i-(2-6i)+3-4i[/tex]

_____________________________________________

2. Group the like terms.

[tex]-9i-4i(-2-6i)+5+3[/tex]

_____________________________________________

3. Add similar elements ( [tex]-9i-4i=-13i[/tex] ).

[tex]=-13i-(2-6i)+5+3[/tex]

_____________________________________________

4. Add the numbers ( [tex]5+3=8[/tex] ).

[tex]-13i-(2-6i)+8[/tex]

_____________________________________________

5. Remove the parentheses ( [tex]-(a+bi)=-a-bi[/tex] ).

[tex]-13i+-2-(-6)i+8[/tex]

_____________________________________________

6. Group the like terms.

[tex]-13i-(-6)i-2+8[/tex]

_____________________________________________

7. Add similar elements ( [tex]-13i-(-6)i=-7i[/tex] ).

[tex]-7i-2+8[/tex]

_____________________________________________

8. Add the numbers ( [tex]-2+8=6[/tex] ).

[tex]-7i+6[/tex]

_____________________________________________

9. Rewrite in standard complex form.

[tex]6-7i[/tex]

^Hence, our solution.

_______________________________________________________

Hope this helps! If so, lmk! If you need anything else, feel free to comment below and I'll see what else I can do to assist you further. But for now, thank you for your time and good luck!

Brandon mows the neighbor's yard to earn extra cash during the summer. He estimates that he mows 1/4 an acre every 1/2 hour. How many acres does he mow each hour?

Answers

zymiyas, this is the solution:

Brandon mows 1/4 an acre every 1/2 hour, therefore:

1/2 hour * 2 = one hour

1/4 * 2 = 2/4 or 1/2 an acre

Brandon will mow 1/2 an acre every hour

how do you solve this?

Answers

According to the given values, the length of the arc is 1 cm approx.

What is an arc?An arc is, in general, any straight curve that connects two points. The term "arc length" refers to an arc's length. A graph arc is an ordered pair of adjacent vertices in a graph. An arc is specifically any section of a circle's circumference (other than the entire curve).

So, the formula to find the length of the arc:

Arc Length = θ × (π/180) × r

Now, substitute the values in the formula as follows:

Arc Length = θ × (π/180) × rArc Length = 8π/9 × (π/180) × 16.5Arc Length = 8π/9 × π/180 × 16.5Arc Length = 2π/9 × π/45 × 16.5Arc Length = 2π × π/45 × 1.8Arc Length = 6.28 × 3.14/45 × 1.8 (π = 3.14)Arc Length = 11.304 × 3.14/45Arc Length = 1.256 × 3.14/5Arc Length = 3.94384/5Arc Length = 0.788768Rounding off: 1.00 cm

Therefore, according to the given values, the length of the arc is 1 cm approx.

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The product of two irrational numbers is an irrational number
a.True
b.False

Answers

False, The product of two irritational numbers is either rational or irrational numbers.

A rational number is a number expressed in the form of p/q where p and q are integers and q should not be zero. Example: 2/5, 24

Whereas an irrational number is a number that is not rational in nature means it neither be expressed in the form of p/q nor in ratio terms. Example: √12, √3

Product of two irrational numbers: √2* √2 = 4 (which is a rational number)

Product of again two irrational numbers: √2*√3= √6 ( which is an irrational number)

Therefore, the product of two irrational numbers can be rational or irrational numbers.

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The product of two irrational numbers is an irrational number is false because it is either a rational or irrational number.

What is a rational number?

A rational number is defined as a numerical representation of a part of a whole that represents a fraction number.

It can be a/b of two integers, a numerator a, and a non-zero denominator b.

The product of two irrational numbers √3 ×√3 = 3

This is a rational number.

Again, the product of two irrational numbers: √5 ×√3 = √15

This is an irrational number.

As a result, the product of two irrational integers can be both rational and irrational.

Thus, the product of two irrational numbers is an irrational number is false because it is either a rational or irrational number.

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[tex]\sqrt{6} +2\sqrt{3} +\sqrt{12}[/tex]

Answers

[tex] = \sqrt{6} + \sqrt{12} + \sqrt{12} \\ \\ = \sqrt{6} + 2 \sqrt{12} \\ = \sqrt{6} + 2 \sqrt{4 \times 3} \\ = \sqrt{6} + 2 \times \sqrt{4} \times \sqrt{3} \\ = \sqrt{6} + 2 \times 2 \sqrt{3} \\ = \sqrt{6} + 4 \sqrt{3} [/tex]

ATTACHED IS THE SOLUTION

assume that each of the n trails

Answers

Given,

The value of n is 8.

The value of x is 0.

The value of p is 0.6.

The binomial expression is,

[tex]P(X=x)=^nC_x\times(p)^x\times(1-p)^{n-x}[/tex]

Subsituting the values then,

[tex]\begin{gathered} P(X=0)=^8C_0\times(0.6)^0\times(1-0.6)^{8-0} \\ P(X=0)=\frac{8!}{0!\times8!}\times1\times(0.4)^8 \\ P(X=0)=1\times1\times(0.4)^8 \\ P(X=0)=0.000655 \\ P(X=0)=0.0007 \end{gathered}[/tex]

ence, the probability is 0.0007.

Let A(x) represent the area bounded by the graph, the horizontal axis, and the vertical lines at and t = x for the graph below. Evaluate A(x) for x = 1,2,3, and 4

Answers

Answer:

• A(1)=4

,

• A(2)=8

,

• A(3)=13

,

• A(4)=17.5

Explanation:

The graph is given below:

The area, A(x) represents the area bounded by the graph, the horizontal axis, and the vertical lines at t=0 and t = x.

(a)A(1)

Area, A(1) is the area of a trapezoid in which: a=3, b=5 and h=1

[tex]\begin{gathered} \text{ Area of a trapezoid}=\frac{1}{2}(a+b)h \\ A(1)=\frac{1}{2}(3+5)(1)=\frac{1}{2}\times8=4\text{ square units} \end{gathered}[/tex]

(b)A(2)

.

[tex]A(2)=2\times A(1)=2\times4=8\text{ square units}[/tex]

(c)A(3)

.

[tex]\begin{gathered} A(3)=A(2)+(5\times1) \\ =8+5 \\ =13\text{ square units} \end{gathered}[/tex]

(d)A(4)

[tex]\begin{gathered} A(4)=A(3)+\text{ Area of shape 4} \\ =13+\frac{1}{2}(5+4)(1) \\ =13+\frac{9}{2} \\ =13+4.5 \\ =17.5\text{ square units} \end{gathered}[/tex]

What is the correct evaluation of 3x - x + 2, when x is equal to -4?

Answers

Answer:

When x = -4, the equation's answer is -6.

Hope this helps!

Step-by-step explanation:

3(-4) - ( -4 ) + 2

-12 - (-4) +2      ( negative times negative is positive )

-12 + 4 + 2

-8 + 2 or -12 + 6

is -6

Graph the line y = kx + 1 given that point M belongs to the line.

M(1, 3)

Please help 25 points

Answers

The graph of the line y=kx+1 given that the  point M(1,3) belongs to the line is shown below .

In the question ,

it is given that

the line y=kx+1 has point (1,3) on it ,

which means that the point (1,3) will satisfy the equation y=kx+1 .

So, substituting x=1 and y=3 , we get

3=k*1+1

3-1=k

k=2

Hence , the equation of the line becomes y=2x+1 .

On comparing the equation with point slope form of the the line, y=mx+c ,

we get , the slope of the line = 2 and y intercept of the line = 1 .

the graph of the line y=2x+1 is shown below .

Therefore , the graph of the line y=kx+1 given that point M(1,3) belongs to the line is shown below .

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hello! here is my question! the histogram shows the range of salary for employees at a company . if the mediansalary increased by $10,000 per year, what would be the new median salary?

Answers

Increasing amount = $10000

Median = Middle value = $40000

then

New median salary = $40000 + $10000 = $50000

Then answer is

OPTION C) $50-59 thousand

Brian is working his way through school. He works two part-time jobs for a total of 22 hours a week. Job A pays $6.10 per hour, and Job B pays $7.30 per hour. How many hours did he work at each job the week that he made $148.60.

Answers

Let a be the number of hours that Brian works at Job A in one week and b be the number of hours that he works at Job B .in one week

Since Brian worked 22 hours per week and he made $148.60, we can set the following system of equations:

[tex]\begin{gathered} a+b=22, \\ 6.10a+7.30b=148.60. \end{gathered}[/tex]

Subtracting b from the first equation we get:

[tex]\begin{gathered} a+b-b=22-b, \\ a=22-b\text{.} \end{gathered}[/tex]

Substituting the above equation in the second one we get:

[tex]6.10(22-b)+7.30b=148.60.[/tex]

Applying the distributive property we get:

[tex]\begin{gathered} 6.10\times22-6.10\times b+7.30b=148.60, \\ 134.20+1.20b=148.60. \end{gathered}[/tex]

Subtracting 134.20 from the above equation we get:

[tex]\begin{gathered} 134.20+1.20b-134.20=148.60-134.20, \\ 1.20b=14.40. \end{gathered}[/tex]

Dividing the above equation by 1.20 we get:

[tex]\begin{gathered} \frac{1.20b}{1.20}=\frac{14.40}{1.20}, \\ b=12. \end{gathered}[/tex]

Substituting b=12 in a=22-b we get:

[tex]a=22-12=10.[/tex]

Answer:

Jessie incorrectly said the rate 1/4 1/16 can be written as the unit rate 1/64 what is the correct unit rate

Answers

Correct Unit rate is 4 pounds per gallons.

What is unit rate?

An item's unit rate is its price for one of it. This is expressed as a ratio with a one as the denominator. For instance, if you covered 70 yards in 10 seconds, you covered 7 yards on average every second. Seven yards in one second and 70 yards in ten seconds are both ratios, but only one of them is a unit rate. A unit rate is a ratio between two separate units with one as the denominator. Examples include miles/hour, kilometers/hour, meters/sec, salaries/month, etc.

Given Data

[tex]\frac{1}{4}[/tex] pounds = [tex]\frac{1}{16}[/tex] gallons

Rate = [tex]\frac{1}{4}[/tex] pounds ÷ [tex]\frac{1}{16}[/tex] gallons

Rate = [tex]\frac{1}{4}[/tex] × 16

Rate = 4

Unit rate is 4 pounds per gallons.

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Miguel pays $68 biweekly for health insurance which is 14% of the total cost his employer pays the rest what is the total annual cost to the nearest dollar of Miguel's health insurance

Answers

Cost of the health insurance is $11657.14

What is cost?

A cost is the worth of money that has been used up to create something or supply a service and is thus no longer accessible for use in production, research, retail, or accounting. In business, the cost might be one of acquisition, in which case the money spent to obtain it is recognized as cost. In this situation, money is the input that is used to purchase the item. This acquisition cost might be the total of the original producer's production expenses and the acquirer's additional transaction costs over and above the amount paid to the producer. Typically, the price includes a profit margin above the cost of manufacture.

14% of x = 68

x = 68 x 100/14

  = $485.71

Total cost = $485.71 x 24 months = $11657.14

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Balloon
1 reached
a height of X meters.
Balloon
2 reached a height of 7 times balloon 1.
Balloon 3 reached a height of half that of balloon 1.
Balloon 4 reached a height of 30 metres more than balloon 1.
The total height reached by all the balloons was 550 metres.
(a)
Formulate an algebraic expression to model the heights reached by balloons 2, 3
(b)
Find the heights reached by balloons 1, 2, 3 and 4.

Answers

Algebraic expression for Height of Balloon 2 = 7x and Height of Balloon 3 = x/2.

Heights reached by balloons 1, 2, 3 and 4 will be 54.73, 383.11, 27.36, 84.73 respectively.

We have the following given information as per the question

Balloon 1 reaches x m.

Balloon 2 reaches a height of 7 times balloon 1

∴ Balloon 2 reaches 7x m.

Balloon 3 reaches a height of half that of balloon 1.

∴ Balloon 3 reaches [tex] \frac{x}{2} [/tex] m.

Balloon 4 reaches a height of 30 meters more than balloon 1.

∴ Balloon 4 reaches ( x + 30 ) m.

Now As given The total height reached by all the balloons was 550 meters.

∴ Height of Balloon 1 + Height of Balloon 2 + Height of Balloon 3 + Height of Balloon 4 = 550 meter

∴ x + 7x + [tex] \frac{x}{2} [/tex] + (x + 30 ) =550

∴ 9.5x + 30 = 550

∴ 9.5x = 550 - 30

∴ 9.5x = 520

∴ x = 520/9.5

∴ x = 54.73 meter

(a) Algebraic expression to model the heights reached by balloons 2, 3 will be

Height of Balloon 2 = 7x = 7(54.73) = 383.11 meter

Height of Balloon 3 = x/2 = 54.73 / 2 = 27.36 meter

(b) The heights reached by balloons 1, 2, 3 and 4 will be as follows

Height of Balloon 1 = x = 54.73 meter.

Height of Balloon 2 = 7x = 7(54.73) = 383.11 meter

Height of Balloon 3 = x/2 = 54.73 / 2 = 27.36 meter

Height of Balloon 4 = x + 30 = 54.73 + 30 = 84.73 meter

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Find the slope and y-intercept for the line.
Slope=
y-intercept = (0,

Answers

slope= 1/4

y intercept= -5

What is the mathematical model of different dimensions but same volume?

Answers

Prism is the mathematical model with different dimensions but same volume.

As given in the question,

Mathematical model represent different dimensions but same volume.

Prism is the mathematical model with different dimensions but same volume.

To prove it consider two different dimensions of prism.

Prism 1

length = 4cm

Width = 4cm

Height = 4cm

Surface area of the prism1 = 2( 4×4 + 4×4 +4×4)

                                            = 2(48)

                                            = 96cm²

Volume of prism1 = 4×4×4

                             = 64cm³

Prism 2

length = 8cm

Width = 2cm

Height = 4cm

Surface area of the prism1 = 2( 8×2 + 2×4 +4×8)

                                            = 2(56)

                                            = 112cm²

Volume of prism1 = 8×2×4

                             = 64cm³

Therefore, prism is the mathematical model with different dimensions but same volume.

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In a certain science experiment, it was required to estimate the nitrogen
content of the blood plasma of a certain colony of rats at their 37th day of age.
A sample of 9 rats was taken at random and the following data was obtained
(grams per 100cc of plasma):
0.98, 0.83, 0.99, 0.86, 0.90, 0.81, 0.94, 0.92, and 0.87.
Find the estimates for the average content and the variation in nitrogen
content in the colony.

Answers

The estimates for the average content is 0.9.

The variation in nitrogen content in the colony is 0.0036.

What is the average of a data set?

The average of a data set or the mean of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set.

The sum of the data set is calculated as follows;

total = 0.98 + 0.83 + 0.99 + 0.86 + 0.9 + 0.81 + 0.94 + 0.92 + 0.87

total = 8.1

The estimated average of the nitrogen content  = 8.1/9 = 0.9

The deviation of each data from the mean;

= (0.98 - 0.9), (0.83 - 0.9), (0.99 - 0.9), (0.86 - 0.9), (0.9 - 0.9), (0.81 - 0.9), (0.94 - 0.9), (0.92 - 0.9), (0.87 - 0.9)

= 0.08, -0.07, 0.09, -0.04, 0, -0.09, 0.04, 0.02, -0.03

The sum of the square of each data from the mean;

= (0.08)² + (-0.07)²  + (0.09)² + (-0.04)² + (0.0)² + (-0.09)² + (0.04)² + (0.02)² + (-0.03)²

= 0.032

The variation of the data sample = (0.032)/9 = 0.0036

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I Need help with this

Answers

STEP - BY - STEP EXPLANATION

Write in all missing angles.

Answers

Answer:

The answers are all there. 50° + 22°= 77°

180° - 77° = 103°

Step-by-step explanation:

All the rest is just mirrored.

Use substitution to find the solution to the system ofequation.-4x + y = 6-5x – y = 21

Answers

Let:

[tex]\begin{gathered} -4x+y=6_{\text{ }}(1) \\ -5x-y=21_{\text{ }}(2) \end{gathered}[/tex]

From (1), solve for y:

[tex]y=6+4x_{\text{ }}(3)[/tex]

Replace (3) into (2):

[tex]\begin{gathered} -5x-(6+4x)=21 \\ -5x-6-4x=21 \\ -9x-6=21 \\ -9x=21+6 \\ -9x=27 \\ x=\frac{27}{-9} \\ x=-3 \end{gathered}[/tex]

Replace the value of x into (3):

[tex]\begin{gathered} y=6+4(-3) \\ y=6-12 \\ y=-6 \end{gathered}[/tex]

This year nelson planted 6 more than one fifth of the tomato plants he planted last year. which expression represents the number of tomato plants he planted this year?
a 1/5x-6

b 1/5x+6

c 5x+6

d 5x-6

Answers

The expression to represent the number of tomato plants he planted this year  1 / 5 x  + 6.

How to represent expression?

This year Nelson planted 6 more than one fifth of the tomato plants he planted last year.  

The expression that can be used to represent the number of tomato plant he planted this year can calculated as follows:

Therefore,

let

x = number of tomato he planted last year.

Hence, the final expression is as follows:

1 / 5 x  + 6

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Four friend must give a 7 minute presentation.each friend must speak for an equal amount of time. How long will each friend speak?

Answers

Answer:

1 minute and 75 seconds

Step-by-step explanation:

you take 4 and divide it by 7 minutes there for getting 1.75

The graph of a 3rd degree polynomial is shown below. Use the Fundamental Theorem of Algebra to determine the number of real and imaginary zeros.

Answers

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \:\texttt{real roots : 2 }[/tex]

[tex]\qquad \tt \rightarrow \: imaginary \: \: roots = 1[/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

The given polynomial is a 3rd degree polynomial so it has a total of three roots.

And we know, where the curve (of polynomial) cuts the x - axis is its real root. so, from the graph we can infer that the given polynomial has 2 real roots [ as it cuts the x - axis at two points, i.e x = -2 and x = 1 ]

Hence, Number of real roots = 2

Number of imaginary roots = total roots - real roots

i.e 3 - 2 = 1

So, number of imaginary roots = 1

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

The depth of a local lake averages 26 ft, which is represented as |−26|. In February, it measured 5 ft deep, or |−5|, and in July, it was 18 ft deep, or |−18|. What is the difference between the depths in February and July?

21 feet
23 feet
8 feet
13 feet

Answers

The difference between the depths in February and July is D. 13 feet.

How to illustrate the information?

From the information illustrated, it was stated that the depth of a local lake average 26 ft is represented as |−26|. In February, it measured 5 ft deep, or |−5|, and in July, it was 18 ft deep, or |−18|.

Therefore, it should be noted that the depth in July is -18.

Therefore, the difference between the depths in February and July will be:

= -5 - (-18)

= -5 + 18

= 13

Therefore, the depth is 13 feet.

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For
f(x) = 3

x
and
g(x) = x4 + 2,
find the following.
(a)
(f ∘ g)(x)

(b)
(g ∘ f)(x)

(c)
f(f(x))

(d)
f 2(x) = (f · f)(x)

Answers

Answer:

f(3) = (3)4 + 2

Step-by-step explanation:

y = (3)4 + 2

y = 12 + 2

y = 14

Find the first four terms of the binomial series for the function shown below
(1+x^3)^-1/5

Answers

The first four terms of the binomial series are  1,  x³/5,  (12/25)x⁶ and  respectively.

The binomial provided to us is (1+x^3)^-1/5.

To find out the first four terms of the binomial, we shall first extend the standard binomial (1+x)^n.

[tex](1+x)^n = 1 + nx + [n(n - 1)/2!] x^{2} + [n(n - 1)(n - 2)/3!] x^{3} +...[/tex]

As we can see here,

The value of x = x³,

The value of n = -1/5.

We get,

[tex](1+x^{3})^{-\frac{1}{5} } = 1 - \frac{1}{5} (x^{3} ) + [\frac{-1}{5} (\frac{-1}{5} -1)/2!]x^{6} + [\frac{-1}{5} (\frac{-1}{5} -1)(\frac{-1}{5} -2)/3!]x^{27} +[/tex]

From the expansion, we can see,

First term = 1

Second term = x³/5

Third term = (12/25)x⁶

Fourth term = (-13/125)x²⁷

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I need help on this question please and thank you

Answers

It is proved that the line c is parallel to line d.

What is defined as the supplement angles?If two angles add up to 180 degrees, they are described as supplementary angles. When supplementary angles are combined, they establish a straight angle (180 degrees). In other words, if Angle 1 + Angle 2 = 180°, angles 1 and 2 are supplementary. Supplementary angles can be either adjacent or not. As a result, there are two kinds of supplementary angles. Every one of these kinds of supplementary angles is discussed further below.supplementary angles adjacentNon-contiguous supplementary angles

For the given question;

Angle 2 and angle 3 are supplement;

∠2 + ∠3 = 180    ......eq 1

See from figure.

∠4 = ∠3  (vertically opposite angles)

Thus, replacing ∠3 with  ∠4 in eq 1.

∠2 + ∠4 = 180   (linear pair)

As ∠2 and ∠4 form the linear pair. Thus, line c is parallel to line d.

Therefore, line c proved to be parallel to line d.

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Circle whether the point is a solution to the inequality. Show work to support the answer.y ≤ 1/3x + 4 is (-6,2) a solution?Yes/No

Answers

Answer:Explanation:

Yes

The point is a solution if it satisfies the inequality.

In this case, the inequality is y ≤ (1/3)x + 4, so replacing (x, y) = (-6, 2), we get:

y ≤ (1/3)x + 4

2 (1/3)(-6) + 4≤

2 ≤ -2 + 4

2 ≤ 2

Since 2 is equal to 2, the inequality is satisfied and (-6, 2) is a solution.

So, the answer is Yes.


Use Gaussian elimination or Gauss-Jordan elimination.
Mike works a total of 58 hr per week at his two jobs. He makes $7 per hour at job A and $8 per hour at job B. If his total
pay for one week is $424 before taxes, then how many hours does he work at each job?

Answers

Mike works 40 hours at job A and 18 hours at job B.

What are simultaneous equations?

Simultaneous equations are two or more algebraic equations that share the same unknown variables and have the same solution for each of them. This suggests that the equations are simultaneous and have a single solution.

Given:

Mike makes $7 per hour at job A and $8 per hour at job B.

Let x be the number of hours Mike spends working at job A and y be the number of hours he spends working at job B.

Since he works a total of 58 hours per week,

x + y = 58

His total pay for one week is ​$424.

7x + 8y = 424

Solving both equations simultaneously we get,

From the first equation, we have, y = 58 - x

Putting the value of y in the second equation,

7x + 8(58 - x) = 424

7x + 464 - 8x = 424

8x - 7x = 464 - 424

x = 40

So, now calculate y = 58 - 40 = 18

Therefore, Mike spends 40 hours working at job A and 18 hours working at job B.

To learn more about simultaneous equations visit:

https://brainly.com/question/12647791

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95 divided by 60 step by step

Answers

0 1
6 0 ⟌ 9 5
- 0
9 5
- 6 0
3 5
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